A Group Action on Derangements

Hua Sun, Yi Wang


In this paper we define a cyclic analogue of the MFS-action on derangements, and give a combinatorial interpretation of the expansion of the $n$-th derangement polynomial on the basis $\{q^k(1 + q)^{n-1-2k}, k = 0, 1,... , \lfloor (n-1)/2\rfloor \}$.


derangement polynomials; group action

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